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Finding the Third Proportional to 6,509,256 and 13,613,376

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Solution

The third proportional to 6,509,256 and 13,613,376 is: 28,470,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,256 : 13,613,376 = 13,613,376 : x
  2. Step 2: Convert to fraction form
    6,509,256/13,613,376 = 13,613,376/x
  3. Step 3: Cross multiply
    6,509,256x = 13,613,376 × 13,613,376
  4. Step 4: Simplify right side
    6,509,256x = 185,324,006,117,376
  5. Step 5: Solve for x
    x = 185,324,006,117,376/6,509,256
  6. Step 6: Final answer
    x = 28,470,843.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.